Positive solutions of nonlinear third-order m-point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity

Authors:
Yanbin Sang;Hua Su
Affiliations:
School of Mathematics and System Sciences, Shandong University, Jinan Shandong, 250100, China;School of Statistics and Mathematics, Shandong University of Finance, Jinan Shandong, 250014, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 3
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Abstract

In this paper, several existence theorems of positive solutions are established for a nonlinear m-point boundary value problem for the following third-order differential equations (@f(u^''))^'+a(t)f(t,u(t))=0,t@?(0,1),@f(u^''(0))=@?i=1m-2a"i@f(u^''(@x"i)),u^'(0)=0,u(1)=@?i=1m-2b"iu(@x"i), where @f:R@?R is an increasing homeomorphism and homomorphism and @f(0)=0. The nonlinear term f may change sign. As an application, an example to demonstrate our results is given.